10121111222101 has 16 divisors (see below), whose sum is σ = 11806444795968. Its totient is φ = 8574033952000.

The previous prime is 10121111222077. The next prime is 10121111222107. The reversal of 10121111222101 is 10122211112101.

It is not a de Polignac number, because 10121111222101 - 2¹³ = 10121111213909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121111222107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267919675 + ... + 267957448.

It is an arithmetic number, because the mean of its divisors is an integer number (737902799748).

Almost surely, 2^{10121111222101} is an apocalyptic number.

10121111222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121111222101 is a deficient number, since it is larger than the sum of its proper divisors (1685333573867).

10121111222101 is a wasteful number, since it uses less digits than its factorization.

10121111222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535877252.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10121111222101 its reverse (10122211112101), we get a palindrome (20243322334202).

The spelling of 10121111222101 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred one".